The following table shows the percentage (%) distribution of total population,…
2022
The following table shows the percentage (%) distribution of total population, literate males and literate females in six cities A-F. In all six cities together, total population, number of literate males and number of literate females are 1.5 crore, 40 lakh and 25 lakh, respectively. Ratio of males to females among the total population is 8 : 7. Based on the data in the table, answer the questions 1-5:
City-wise Distribution of Population
City | Population (out of 1.5 crore) | Literate Males (out of 40 lakh) | Literate Females (out of 25 lakh) |
|---|---|---|---|
A | 16% | 18% | 24% |
B | 18% | 12% | 18% |
C | 21% | 20% | 12% |
D | 15% | 16% | 16% |
E | 20% | 19% | 20% |
F | 10% | 15% | 10% |
The illiterate population of City A is
Answer: A. 10.8 lakh — ConceptFor a group represented by a percentage, its actual count equals the stated total multiplied by the percentage divided by 100. The illiterate…
- A.
10.8 lakh
- B.
14.2 lakh
- C.
16.8 lakh
- D.
18 lakh
Attempted by 3 students.
Show answer & explanation
Correct answer: A
Concept
For a group represented by a percentage, its actual count equals the stated total multiplied by the percentage divided by 100.
The illiterate population is found by subtracting all literate groups from the total population of the same city.
Application
City A population = 16% of 150 lakh = (16/100) × 150 = 24 lakh.
Literate males in City A = 18% of 40 lakh = (18/100) × 40 = 7.2 lakh.
Literate females in City A = 24% of 25 lakh = (24/100) × 25 = 6 lakh.
Total literate population in City A = 7.2 + 6 = 13.2 lakh.
Illiterate population in City A = 24 − 13.2 = 10.8 lakh.
Cross-check
Adding the literate and illiterate counts gives 13.2 + 10.8 = 24 lakh, which reproduces City A’s total population.
Result
Therefore, the illiterate population of City A is 10.8 lakh.